A survey on stationary problems, Green's functions and spectrum of Sturm-Liouville problem with nonlocal boundary conditions

被引：74

作者：

Stikonas, Arturas ^{[1
]}

机构：

[1] Vilnius Univ, LT-08663 Vilnius, Lithuania

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2014年 / 19卷 / 03期

关键词：

stationary problem; nonlocal boundary conditions; Green's function; Sturm-Liouville problem; spectrum; 2-DIMENSIONAL PARABOLIC EQUATION; ALTERNATING-DIRECTION METHOD; FINITE-DIFFERENCE SCHEMES; NONLINEAR ELLIPTIC EQUATION; POSITIVE SOLUTIONS; NUMERICAL-SOLUTION; PSEUDOPARABOLIC EQUATION; ADDITIONAL CONDITIONS; NONNEGATIVE SOLUTIONS; GENERALIZED INVERSES;

D O I：

10.15388/NA.2014.3.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a survey of recent results on the Green's functions and on spectrum for stationary problems with nonlocal boundary conditions. Results of Lithuanian mathematicians in the field of differential and numerical problems with nonlocal boundary conditions are described.

引用

页码：301 / 334

页数：34

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[11] On the problem of determining the parameter of an elliptic equation in a Banach space [J].